Abstract:
We obtain a first-order trace formula for a higher order differential operator on a closed interval in the case where the perturbation operator is the operator of multiplication by a finite complex-valued charge. For operators of even orders n⩾4, the result contains a term of new type, previously unknown.
Bibliography: 15 titles.
\Bibitem{GalNaz21}
\by E.~D.~Gal'kovskii, A.~I.~Nazarov
\paper A~trace formula for higher order ordinary differential operators
\jour Sb. Math.
\yr 2021
\vol 212
\issue 5
\pages 676--697
\mathnet{http://mi.mathnet.ru/eng/sm9449}
\crossref{https://doi.org/10.1070/SM9449}
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https://www.mathnet.ru/eng/sm9449
https://doi.org/10.1070/SM9449
https://www.mathnet.ru/eng/sm/v212/i5/p80
This publication is cited in the following 2 articles:
D. M. Polyakov, “Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation”, Monatsh Math., 202 (2023), 171–212
N. P. Bondarenko, “Reconstruction of higher-order differential operators by their spectral data”, Mathematics, 10:20 (2022), 3882
Citation in format AMSBIB
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